Given the linear correlation coefficient \( r \) and the sample size \( n \), determine the critical values of \( r \) and use your finding to state whether or not the given \( r \) represents a significant linear correlation. Use a significance level of 0.05.\[ r = 0.898, \, n = 9 \]a. Critical values: \( r = -0.666 \), no significant linear correlationb. Critical values: \( r = 0.666 \), no significant linear correlationc. Critical values: \( r = \pm 0.666 \), significant linear correlationd. Critical values: \( r = \pm 0.666 \), no significant linear correlation**Explanation:**The task is to compare the given correlation coefficient \( r = 0.898 \) with the critical values to determine if there is a significant linear correlation. The significance level is set at 0.05, meaning there is a 5% risk of concluding that a correlation exists when there is none.For example, in option c, the critical values for \( r \) are \( \pm 0.666 \). Since \( 0.898 \) is greater than \( 0.666 \), it is considered a significant linear correlation.

Given, r = 0.898 n = 9 α = 0.05 Critical values: r = \pm 0.396,r = ±0.666, Significant linear correlation. The observed correlation value is: 0.898 The critical value for the correlation is: 0.666 The observed correlation value is greater than the critical value, so there is a significant linear relationship occurs between the variables. Answer is Option C Critical values: r = \pm 0.396,r = ± 0.666, Significant linear correlation.

Math

Statistics

Given the linear correlation coefficient r and the sample size n, determine the critical values or r and use your finding to state whether or not the given r represents a significant linear correlation. Use a significance level of .05. r = .898, n = 9 а. Critical values: r = -.666, no significant linear correlation b. Critical values: r = .666, no significant linear correlation с. Critical values: r = +.666, significant linear correlation d. Critical values: r = 1.666, no significant linear correlation

Given the linear correlation coefficient r and the sample size n, determine the critical values or r and use your finding to state whether or not the given r represents a significant linear correlation. Use a significance level of .05. r = .898, n = 9 а. Critical values: r = -.666, no significant linear correlation b. Critical values: r = .666, no significant linear correlation с. Critical values: r = +.666, significant linear correlation d. Critical values: r = 1.666, no significant linear correlation

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Please help it’s not graded
Listed below are the amounts of bills for dinner and the amounts of the tips that were left. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of α=0.01. If everyone were to tip with the same percentage, what should be the value of r? Bill (dollars) 31.65 53.83 87.10 103.64 60.34 109.80 Tip (dollars) 3.74 5.76 14.73 16.86 7.44 20.73 1. The linear correlation coefficient is r= 2. What are the null and alternative hypotheses? 3. The test statistic is t= 4. The P-Value is P=
The accompanying table lists the ages of acting award winners matched by the years in which the awards were won. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Should we expect that there would be a correlation? Use a significance level of α=0.05. LOADING... Click the icon to view the ages of the award winners. Construct a scatterplot. Choose the correct graph below. A. 20702070Best Actress (years)Best Actor (years) A scatterplot has a horizontal axis labeled Best Actress in years from 20 to 70 in increments of 5 and a vertical axis labeled Best Actor in years from 20 to 70 in increments of 5. Twelve points are plotted. Eleven of the plotted points follow the pattern of a line rising from left to right passing through the points (24, 38) and (66, 58). An…
Tiempo restante Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your finding to state whether or not the given r represents a significant linear correlation. Use a significance level of 0.05. T = 0.353, n = 15 Seleccione una: O A. Critical values: r = ±0.532, no sigmificant linear correlation O B. Critical values: r = 0.514, no significant linear correlation OC. Critical values: r = ±0.514, no significant linear correlation O D. Critical values: r = ±0.514, significant linear correlation Siguiente pág hp
16. In comparing the relationship between rainfall and hot dog sales, a student finds the correlation to be r = -0.56. What is the best description of the relationship between these two sets of data? Group of answer choices Negative and Strong Positive and Weak Negative and Moderate Positive and Moderate
please comnfirm my answer and give me the correct answer
At the .05 significance level, does the data below show significant correlation? x y 3 12.87 4 13.66 5 17.95 6 23.44 7 15.93 8 13.62 9 27.91
Fifty-four wild bears were anesthetized, and then their weights and chest sizes were measured and listed in a data set. Results are shown in the accompanying display. Is there sufficient evidence to support Correlation Results the claim that there is a linear correlation between the weights of bears and their chest sizes? When measuring an anesthetized bear, is it easier to measure chest size than weight? If so, does it appear that Correlation coeff, r: 0.959614 a measured chest size can be used to predict the weight? Use a significance level of = 0.05. Critical r: +0.2680855 P-value (two tailed): 0.000 Но: Р H1:P (Type integers or decimals. Do not round.) Identify the correlation coefficient, r. (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) O A. There is one critical value at r= . B. There are two critical values at r= ± Is there sufficient evidence to support the claim that there is a linear correlation between…
What would you conclude if 17 pairs of data produce a linear correlation coefficient of r = 0.456 if the significance level is 0.05. Must show critical value and decision before writing the conclusion.
The accompanying table lists the ages of acting award winners matched by the years in which the awards were won. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Should we expect that there would be a correlation? Use a significance level of a = 0.01. Click the icon to view the ages of the award winners. Construct a scatterplot. Choose the correct graph below. OA. 70- Best Actor (years) 20+ 20 Q [ 70 Best Actress (years) The linear correlation coefficient is r= ☐ (Round to three decimal places as needed.). B. OC. Q 70- 70- Q 20- 20 20- 70 20 70 Best Actress (years) Best Actress (years) Best Actresses and Best Actors Best Actress 29 29 28 57 31 32 45 28 63 22 42 51D Best Actor 45 39 39 47 51 49 64 48 38 55 43 34 O D. 70- Q G 20 20 70 Best Actress (years)
Listed below are amounts of bills for dinner and the amounts of the tips that were left. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.05. If everyone were to tip with the same percentage, what should be the value of r? Bill (dollars) Tip (dollars) 69 Construct a scatterplot. Choose the correct graph below. O A. 25- 04 30 1.6 Bill Amount (S) 30.39 49.64 84.71 94.16 62.06 101.95 6.07 8.67 11.03 12.99 9.31 13.46 120 Q ✔ The linear correlation coefficient is r= (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: P H₁: p (Type integers or decimals. Do not round.) The test statistic is t = (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) Because the P-value of the linear correlation…
Fifty-four wild bears were anesthetized, and then their weights and chest sizes were measured and listed in a data set. Results are shown in the accompanying display. Use a significance level of x = 0.05 to answer the following questions. Correlation Results Correlation coeff, r: Critical r: P-value (two tailed): 0.000 Identify the correlation coefficient, r. r= (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) OA. There are two critical values at r= ± OB. There is one critical value at r= Is there sufficient evidence to support the claim that there is a linear correlation between the weigh of bears and their chest sizes? Choose the correct below and, if necessary, fill in the answer box within your choice. (Round to three decimal places as needed.) exceeds the critical value. A. No, because the absolute value of r= OB. Yes, because the absolute value of r= OC. No, because r= exceeds the positive critical value. falls…